Controlling electronic properties of quantum materials by an off-resonant high-frequency electromagnetic field, which is based on the Floquet theory of periodically driven quantum systems (Floquet engineering), has become an established research area of modern physics [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}. Since frequency of the off-resonant field is assumed to be far from characteristic
resonant frequencies of the electronic system, it cannot be absorbed by electrons and only
“dresses” them (the dressing field). Therefore, the effect of such a dressing field is purely in renormalizing parameters of the electronic Hamiltonian. As a result, the dressing field can crucially modify physical
properties of various condensed-matter nanostructures, including semiconductor quantum wells [8]}, [9]}, [10]}, quantum rings [11]}, [12]}, [13]}, [14]}, topological insulators [15]}, [16]}, [17]}, [18]}, [19]}, [20]}, carbon nanotubes [21]},
graphene and related two-dimensional materials [22]}, [23]}, [24]}, [25]}, [26]}, [27]}, [28]}, [29]}, [30]}, [31]}, [32]}, [33]}, [34]}, [35]}, [36]}, etc.
